Chapter 11.3, Problem 22E

To determine

To find: the number of crimes for the year $2001$ .

Answer to Problem 22E

The number of crimes for the year $2001$ is $2.4$ .

Explanation of Solution

Given:

  $y=-1.5x^2+13.3x+19.4$ .

Concept used:

  $2001$ and $1991$ there is a $10$ years difference which means the number of crimes for the years $2001$ ina shopping mall will be the number of crimes since the malls started in $1991$ .

By putting $10$ year in the function $x$ the number of crimes will be known.

Calculation:

The average number of crimes reported at shopping mall from 1991 to 2001.

First check the difference between $2001$ and $1991$ which is:

  $2001-1991=10.$

According to the model the function is:

  $y=-1.5x^2+13.3x+19.4$ .

The number of crimes for the year $2001$ is:

  $\begin{array}{l}y=-1.5{\left(10\right)}^2+13.3\times \left(10\right)+\mathrm{19.4.}\\ y=2.4\end{array}$

Hence, the model to protect the number of crimes in $2001$ is $2.4$ .